Professor Rounds is an absolutely top notch language teacher. Not only is she a great teacher, but she is a preeminent expert in Hungarian grammar, and is also quite knowledgeable about its history and culture. You couldn't ask for better. I have studied French and Spanish before with various teachers, and while I definitely have had some good (and not-so-great) language teachers in the past, Carol Rounds is by far the most adept at teaching language in an intuitive and engaging manner.
I am taking Hungarian as part of the separate language requirement for the Linguistics special major, but this semester the other three students in the class have previous experience with Hungarian (from their Hungarian parents, etc.). Even with this mixture of backgrounds and differing levels prior experience, the class runs pretty much seamlessly. What I really love about her class is the intuitive way each lesson builds upon the last. Hungarian has quite a few aspects that can be confusing to the English speaker at first (cases, grammatical agreement depending on the definiteness/indefiniteness of the direct object, etc.) but Professor Rounds introduces them in a stepwise manner that ensures you have mastered the basis of each grammatical concept before moving on to grammar that builds upon those concepts. From the perspective of a linguistics major, this is especially satisfying (because really, at a university level, a language professor is pretty much useless if they don't have an understanding of exactly how and why the grammar works the way it does--- we've reached the age where our language learning faculty is pretty dried out, and we really need to learn those rules explicitly... we're not going to soak them all up through immersion!).
This being said, the class is by no means one giant grammar lesson. It isn't unfriendly to people with non-linguistics backgrounds, but if you ARE interested in learning more about the minutiae of the grammar, she can answer pretty much any and all of your questions---she's written pretty much the most authoritative grammar of the Hungarian language that exists today. She also will occasionally remark on grammatical features of the language that are unusual or interesting.
Class time is mostly spent conversing, and since the sections tend to be pretty small (the class was 5 students including me Fall 2013 for Elementary I, and 4 students Spring 2014 for Elementary II), you get to know your classmates rather well and become very comfortable conversing with them. Professor Rounds devises in-class conversational exercises that are just repetitive enough to help you learn concepts thoroughly, but not so repetitive that they are boring. She stays on topic, with occasional interesting digressions about Hungarian culture.
All in all, this is a great class for anyone interested in having a fluid and fun language learning experience, and especially good for Linguistics majors looking to study a language with an interesting grammar with a professor who knows it inside and out. I can't speak for the heritage speakers, but it seems to me that Professor Rounds's approach to teaching grammar would be helpful for someone who has a strong basis in vocabulary but never received formal education on the grammar. As a bonus for people with busy schedules, the class meets only twice a week, and the workload is quite reasonable (and not busy work---you're practicing new skills with each assignment, and it isn't really difficult. Just challenging enough. Goldilocks style.) She wrote the textbook, which is modestly priced on Amazon, so she knows the lessons inside and out and has plenty of supplementary material to enhance it. She requires you use the CD that comes with the book but if you don't want to shell out and buy it you can just borrow the CD that she has and upload it to your iTunes (that's what I did). She's very accommodating and helpful in general.
She really deserves a gold nugget! One of the best teachers I've had at Columbia and definitely the best language professor I've ever had. If you like languages, you should take this class! If you have any questions she is very open to meeting with potential students, and can help people who already have experience with Hungarian determine what level of her course to take.